Toric and non-toric Bayesian networks

08/12/2022
by   Lisa Nicklasson, et al.
0

In this paper we study Bayesian networks from a commutative algebra perspective. We characterize a class of toric Bayesian nets, and provide the first example of a Bayesian net which is proved non-toric under any linear change of variables. Concerning the class of toric Bayesian nets, we study their quadratic relations and prove a conjecture by Garcia, Stillman, and Sturmfels for this class. In addition, we give a necessary condition on the underlying directed acyclic graph for when all relations are quadratic.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/30/2020

Uncertainty Reasoning for Probabilistic Petri Nets via Bayesian Networks

This paper exploits extended Bayesian networks for uncertainty reasoning...
research
10/10/2019

Bayesian Diagnostics for Chain Event Graphs

Chain event graphs have been established as a practical Bayesian graphic...
research
01/30/2013

Irrelevance and Independence Relations in Quasi-Bayesian Networks

This paper analyzes irrelevance and independence relations in graphical ...
research
06/29/2018

Updating Probabilistic Knowledge on Condition/Event Nets using Bayesian Networks

The paper extends Bayesian networks (BNs) by a mechanism for dynamic cha...
research
02/26/2023

Bayesian Networks for Named Entity Prediction in Programming Community Question Answering

Within this study, we propose a new approach for natural language proces...
research
05/09/2012

Most Relevant Explanation: Properties, Algorithms, and Evaluations

Most Relevant Explanation (MRE) is a method for finding multivariate exp...
research
11/01/2021

NOTMAD: Estimating Bayesian Networks with Sample-Specific Structures and Parameters

Context-specific Bayesian networks (i.e. directed acyclic graphs, DAGs) ...

Please sign up or login with your details

Forgot password? Click here to reset